Abstract

We characterize all $(n-2)$-dimensional linear subspaces of ${\mathbb{P}}^n$ such that the induced linear projection, when restricted to the rational normal curve, gives a Galois morphism. We give an explicit description of these spaces as a disjoint union of locally closed subvarieties in the Grassmannian $\mathbb{G}(n-2,n).$

中文翻译：

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有理正态曲线的伽罗瓦子空间

摘要

我们表征所有 $(n-2)$的维线性子空间 ${\mathbb{磷}}^n$使得诱导线性投影，当限制到有理正态曲线时，给出一个伽罗瓦态射。我们将这些空间明确描述为 Grassmannian 中局部封闭子变体的不相交联合$\mathbb{G}(n-2,n).$